English

Bergman Complexes of Lattice Path Matroids

Combinatorics 2015-08-21 v2

Abstract

We give an explicit description of the poset of cells of Bergman complexes of Lattice Path Matroids and establish a criterion for its simpliciality, in terms of the shape of the bounding paths.

Keywords

Cite

@article{arxiv.1207.4700,
  title  = {Bergman Complexes of Lattice Path Matroids},
  author = {Emanuele Delucchi and Martin Dlugosch},
  journal= {arXiv preprint arXiv:1207.4700},
  year   = {2015}
}

Comments

15 pages, 7 figures; substantial improvements in exposition. To appear in SIAM Journal of Discrete Mathematics (SIDMA)

R2 v1 2026-06-21T21:38:32.866Z